-3x+2.25+x^2=20.25

Solution for -3x+2.25+x^2=20.25 equation:

Simplifying
-3x + 2.25 + x2 = 20.25

Reorder the terms:
2.25 + -3x + x2 = 20.25

Solving
2.25 + -3x + x2 = 20.25

Solving for variable 'x'.

Reorder the terms:
2.25 + -20.25 + -3x + x2 = 20.25 + -20.25

Combine like terms: 2.25 + -20.25 = -18
-18 + -3x + x2 = 20.25 + -20.25

Combine like terms: 20.25 + -20.25 = 0.00
-18 + -3x + x2 = 0.00

Factor a trinomial.
(-3 + -1x)(6 + -1x) = 0.00

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-3, 6}